Hamiltonian Analysis of integrable point vortices in a circular domain

Authors

Mohamed I. Jamaloodeen, Georgia Gwinnett CollegeFollow
David Coppock*, Georgia Gwinnett CollegeFollow

Abstract

Using Hamiltonian methods, we analyze the motion of point vortices in a circular domain. We summarize the case with n =1 vortex and focus mainly on discussing the collapse of, and equilibrium solutions for, n=2 vortices. We also discuss results for n=3, 4, and 5 vortices, and with time permitting we may present additional results including quasi-periodic solutions and choreographic solutions .

Recommended Citation

Jamaloodeen, Mohamed I. and Coppock*, David (2020) "Hamiltonian Analysis of integrable point vortices in a circular domain," Georgia Journal of Science, Vol. 78, No. 1, Article 108.
Available at: https://digitalcommons.gaacademy.org/gjs/vol78/iss1/108